It consists of four modules: an expert domain is dealt with (in our case, factorization of algebraic expressions), a student modeller, a real tutorial module, and a user interface. We made use of an 'object oriented' language, Smalltalk/V, for our realization. The characteristics of this ...
algebra mathematics algebraic-data-types polynomials finite-fields factorization algebraic-calculations groebner-basis multivariate-polynomials polynomial-arithmetic commutative-algebra Updated Oct 26, 2023 Java ihebski / factordb Sponsor Star 71 Code Issues Pull requests RSA primes numbers /RSA/CTFs cryp...
Kluwer Academic Publishers,1984.[BM]R.Brayton and C.McMullen.The decomposition and factoriza-tion of Boolean expressions.In IEEE International Symposium on Circuits and Systems,pages49–54,1982.[BEM]R.Brooks,Y.Eliashberg,and C.McMullen.The spectral geometry offlat disks.Duke Math.J.61(1990)...
In the case of exponential fields the form factors can be obtained from the known form factors of the Z-symmetric Ising model. The algebraic const... M Lashkevich,Y Pugai - 《Physics Letters B》 被引量: 2发表: 2016年 Heavy-to-light form factors in the final hadron large energy limit...
An algebraic expression combines variables and constants using basic arithmetic operations such as addition, subtraction, multiplication, and division. Each term is separated by addition or subtraction. Polynomials are algebraic expressions with variables raised to varying powers, called exponents. The form...
Re-writing Variables: the Complexity of Keystream Substitution in Fast Algebraic Attacks Rewriting Variables: the Complexity of Fast Algebraic Attacks on Stream Ciphers An explicit factorization of the corresponding characteristic polynomial yields the fastest known method for performing the pre-computation ...
Factor[poly] factors a polynomial over the integers. Factor[poly, Modulus -> p] factors a polynomial modulo the prime p. Factor[poly, Extension -> {a1, a2, ...}] factors a polynomial allowing coefficients that are rational combinations of the algebraic n
The first polynomial factorization algorithm was published by Theodor von Schubert in 1793. Leopold Kronecker rediscovered Schubert's algorithm in 1882 and extended it to multivariate polynomials and coefficients in an algebraic extension. But most of the knowledge on this topic is not older than circa...
Linear Algebraic Equations Sergio Pissanetzky, in Sparse Matrix Technology, 1984 2.11 Cholesky factorization of a symmetric positive definite matrix When A is symmetric positive definite, there exists a unique decomposition (2.49)A=UTU where U is upper triangular with positive diagonal elements (Propert...
Prime The only factors of the integer are itself and one. EX: 3 --- 3*1 EX: 23 --- 23 * 1 Composite There are many factors for the integer. EX: 24 --- 1*24; 2*12; 3*8; 4*6 EX: 32 --- 1*32; 2*16; 4*8